126473472 has 108 divisors (see below), whose sum is σ = 386224020. Its totient is φ = 39665664.

The previous prime is 126473471. The next prime is 126473531. The reversal of 126473472 is 274374621.

126473472 is a `hidden beast` number, since 1 + 2 + 647 + 3 + 4 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68956416 + 57517056 = 8304^2 + 7584^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126473471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37554 + ... + 40782.

Almost surely, 2^126473472 is an apocalyptic number.

126473472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126473472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193112010).

126473472 is an abundant number, since it is smaller than the sum of its proper divisors (259750548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126473472 is a wasteful number, since it uses less digits than its factorization.

126473472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268 (or 3251 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 126473472 is about 11246.0425039211. The cubic root of 126473472 is about 501.9569599561.

The spelling of 126473472 in words is "one hundred twenty-six million, four hundred seventy-three thousand, four hundred seventy-two".